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113736295040 = 275374803053
BaseRepresentation
bin110100111101100110…
…1100010001010000000
3101212120110220102121212
41221323031202022000
53330412442420130
6124125535305252
711134330361624
oct1517315421200
9355513812555
10113736295040
114426519a955
121a06207b228
13a9575bab84
14570d4d1184
152e5a12ce95
hex1a7b362280

113736295040 has 64 divisors (see below), whose sum is σ = 279249559560. Its totient is φ = 44264927232.

The previous prime is 113736295009. The next prime is 113736295069. The reversal of 113736295040 is 40592637311.

It can be written as a sum of positive squares in 4 ways, for example, as 97979016256 + 15757278784 = 313016^2 + 125528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2377847 + ... + 2425206.

Almost surely, 2113736295040 is an apocalyptic number.

113736295040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113736295040 is an abundant number, since it is smaller than the sum of its proper divisors (165513264520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113736295040 is an equidigital number, since it uses as much as digits as its factorization.

113736295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803109 (or 4803097 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 113736295040 in words is "one hundred thirteen billion, seven hundred thirty-six million, two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 23680 4803053 9606106 19212212 24015265 38424424 48030530 76848848 96061060 153697696 177712961 192122120 307395392 355425922 384244240 614790784 710851844 768488480 888564805 1421703688 1536976960 1777129610 2843407376 3073953920 3554259220 5686814752 7108518440 11373629504 14217036880 22747259008 28434073760 56868147520 113736295040